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 Volume and Surface Area Questions

Popular Latest Rated Important Formulae

FACTS  AND  FORMULAE  FOR  VOLUME  AND  SURFACE  AREA  QUESTIONS

 

 

I. CUBOID

   Let length=l, breadth =b and height =h units. Then,

1. Volume = (l x b x h)

2. Surface area = 2(lb +bh + lh) sq.units

3. Diagonal =l2+b2+h2 units

 

 

II. CUBE 

Let each edge of a cube be of length a. Then,

1. Volume = a3 cubic units.

2. Surface area = 6a2 sq.units

3. Diagonal = 3a units

 

 

III. CYLINDER 

Let radius of base = r and Height (or Length) = h. Then, 

1.Volume = πr2h cubic units 

2. Curved surface area = 2πrh sq.units

3. Total surface area = 2πrh+2πr2 sq.units

 

 

IV. CONE 

Let radius of base =r and Height = h. Then, 

1. Slant height, l=h2+r2 units

 

2. Volume = 13πr2h cubic units.

 

3. Curved surface area = πrlsq.units 

 

4. Total surface area = πrl+πr2sq.units

 

 

V. SPHERE 

Let the radius of the sphere be r. Then, 

1. Volume =43πr3 cubic units

2. Surface area = 4πr2 sq.units

 

 

VI. HEMISPHERE 

Let the radius of a hemisphere be r. Then, 

1. Volume = 23πr3 cubic units.

2. Curved surface area = 2πr2 sq.units

3. Total surface area = 3πr2 sq.units

 

Q:

Two circles with centres P and Q touch each other externally. A straight line drawn through the point of contact intersects the circle with centre P at A and the circle with centre Q at B. Then, which of the following is true?

A) AP = BQ B) AP | BQ
C) AP || BQ D) AP = 1⁄2 BQ
 
Answer & Explanation Answer: C) AP || BQ

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0 1204
Q:

The copper wire when bent in the form of a square encloses an area of 121 cub.cm. If the same wire is bent into the form of a circle, find the area of the circle.

A) 154 sq.cm B) 153 sq.cm
C) 155 sq.cm D) 150 sq.cm
 
Answer & Explanation Answer: A) 154 sq.cm

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1 1204
Q:

The amount of extension in a spring is proportional to the weight hung on it. If the weight of 5 kgs produces an extension of 0.4 cm, what weight would produce an extension of 5cm?

A) 6.25kgs B) 62.5kgs
C) 4kgs D) 40kgs
 
Answer & Explanation Answer: B) 62.5kgs

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0 1203
Q:

O is the center of the circle and two tangents are drawn from a point P to this circle at points A and B. If ∠AOP = 50°, then what is the value (in degrees) of ∠APB?

A) 60 B) 80
C) 90 D) 100
 
Answer & Explanation Answer: B) 80

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0 1203
Q:

Which one of the following combination of measurements can form the sides of a triangle?

A) 9 cm, 6 cm, 2 cm B) 11 cm, 3 cm, 12 cm
C) 3 cm, 5 cm, 8 cm D) 5 cm, 7 cm, 13 cm
 
Answer & Explanation Answer: B) 11 cm, 3 cm, 12 cm

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0 1203
Q:

ABCD is a cyclic quadrilateral of which AB is the diameter. Diagonals AC and BD intersect at E. If ∠DBC = 35°, Then ∠AED measures

A) 35° B) 45°
C) 55° D) 90°
 
Answer & Explanation Answer: C) 55°

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0 1202
Q:

If triangle ABC = triangle XYZ and angle BAC = 55 deg, then angle ZXY = ?

A) 67.5 deg B) 135 deg
C) 65 deg D) 55 deg
 
Answer & Explanation Answer: D) 55 deg

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1 1202
Q:

If the sum of the interior angles of a regular polygon is 1260 deg , then how many sides does it have?

A) 10 B) 12
C) 15 D) 9
 
Answer & Explanation Answer: D) 9

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